Least Common Multiple (LCM) of 153 and 143
The least common multiple (LCM) of 153 and 143 is 21879.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 153 and 143?
First, calculate the GCD of 153 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 143 = 1 remainder 10 |
| 2 | 143 ÷ 10 = 14 remainder 3 |
| 3 | 10 ÷ 3 = 3 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 53 | 530 |
| 120 and 197 | 23640 |
| 13 and 101 | 1313 |
| 120 and 103 | 12360 |
| 123 and 189 | 7749 |